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Finding the Fourth Proportional to 201,710.40, 302,565.60 and 170,217.60

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Solution

The fourth proportional to 201,710.40, 302,565.60 and 170,217.60 is: 255,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.40 : 302,565.60 = 170,217.60 : x
  2. Step 2: Convert to fraction form
    201,710.40/302,565.60 = 170,217.60/x
  3. Step 3: Cross multiply
    201,710.40x = 302,565.60 × 170,217.60
  4. Step 4: Simplify right side
    201,710.40x = 51,501,990,274.56
  5. Step 5: Solve for x
    x = 51,501,990,274.56/201,710.40
  6. Step 6: Final answer
    x = 255,326.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.